oxiz-spacer 0.2.0

Property Directed Reachability (PDR/IC3) engine for OxiZ - Horn clause solving
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
//! CHC-COMP format parser
//!
//! Parses Constrained Horn Clauses in SMT-LIB2/CHC-COMP format.
//!
//! Reference: <https://chc-comp.github.io/format.html>

use crate::chc::{ChcSystem, PredId, PredicateApp};
use oxiz_core::sort::SortId;
use oxiz_core::{TermId, TermManager};
use std::collections::HashMap;
use thiserror::Error;

/// Token types for SMT-LIB2 lexer
#[derive(Debug, Clone, PartialEq)]
pub enum Token {
    /// Left parenthesis
    LParen,
    /// Right parenthesis
    RParen,
    /// Symbol (identifier)
    Symbol(String),
    /// Keyword (starts with :)
    Keyword(String),
    /// String literal
    StringLit(String),
    /// Numeral (non-negative integer)
    Numeral(String),
    /// Decimal (floating point)
    Decimal(String),
}

/// Lexer for SMT-LIB2 format
pub struct Lexer {
    input: Vec<char>,
    pos: usize,
}

impl Lexer {
    /// Create a new lexer from input string
    pub fn new(input: &str) -> Self {
        Self {
            input: input.chars().collect(),
            pos: 0,
        }
    }

    /// Get the next token
    pub fn next_token(&mut self) -> Result<Option<Token>, ParseError> {
        // Skip whitespace and comments
        self.skip_whitespace_and_comments()?;

        if self.pos >= self.input.len() {
            return Ok(None);
        }

        let ch = self.input[self.pos];

        match ch {
            '(' => {
                self.pos += 1;
                Ok(Some(Token::LParen))
            }
            ')' => {
                self.pos += 1;
                Ok(Some(Token::RParen))
            }
            '"' => self.read_string(),
            ':' => self.read_keyword(),
            '0'..='9' => self.read_number(),
            _ if Self::is_symbol_char(ch) => self.read_symbol(),
            _ => Err(ParseError::InvalidSyntax(format!(
                "unexpected character: '{}'",
                ch
            ))),
        }
    }

    /// Skip whitespace and comments
    fn skip_whitespace_and_comments(&mut self) -> Result<(), ParseError> {
        while self.pos < self.input.len() {
            let ch = self.input[self.pos];

            if ch.is_whitespace() {
                self.pos += 1;
            } else if ch == ';' {
                // Skip comment until end of line
                while self.pos < self.input.len() && self.input[self.pos] != '\n' {
                    self.pos += 1;
                }
            } else {
                break;
            }
        }

        Ok(())
    }

    /// Read a string literal
    fn read_string(&mut self) -> Result<Option<Token>, ParseError> {
        self.pos += 1; // Skip opening quote

        let mut s = String::new();
        while self.pos < self.input.len() {
            let ch = self.input[self.pos];
            if ch == '"' {
                self.pos += 1;
                return Ok(Some(Token::StringLit(s)));
            } else if ch == '\\' && self.pos + 1 < self.input.len() {
                // Escape sequence
                self.pos += 1;
                s.push(self.input[self.pos]);
                self.pos += 1;
            } else {
                s.push(ch);
                self.pos += 1;
            }
        }

        Err(ParseError::InvalidSyntax(
            "unterminated string literal".to_string(),
        ))
    }

    /// Read a keyword (starts with :)
    fn read_keyword(&mut self) -> Result<Option<Token>, ParseError> {
        self.pos += 1; // Skip ':'

        let start = self.pos;
        while self.pos < self.input.len() && Self::is_symbol_char(self.input[self.pos]) {
            self.pos += 1;
        }

        let keyword: String = self.input[start..self.pos].iter().collect();
        Ok(Some(Token::Keyword(keyword)))
    }

    /// Read a number (numeral or decimal)
    fn read_number(&mut self) -> Result<Option<Token>, ParseError> {
        let start = self.pos;
        let mut has_dot = false;

        while self.pos < self.input.len() {
            let ch = self.input[self.pos];
            if ch.is_ascii_digit() {
                self.pos += 1;
            } else if ch == '.' && !has_dot {
                has_dot = true;
                self.pos += 1;
            } else {
                break;
            }
        }

        let number: String = self.input[start..self.pos].iter().collect();

        if has_dot {
            Ok(Some(Token::Decimal(number)))
        } else {
            Ok(Some(Token::Numeral(number)))
        }
    }

    /// Read a symbol
    fn read_symbol(&mut self) -> Result<Option<Token>, ParseError> {
        let start = self.pos;

        while self.pos < self.input.len() && Self::is_symbol_char(self.input[self.pos]) {
            self.pos += 1;
        }

        let symbol: String = self.input[start..self.pos].iter().collect();
        Ok(Some(Token::Symbol(symbol)))
    }

    /// Check if a character can be part of a symbol
    fn is_symbol_char(ch: char) -> bool {
        ch.is_alphanumeric()
            || ch == '_'
            || ch == '-'
            || ch == '+'
            || ch == '*'
            || ch == '/'
            || ch == '<'
            || ch == '>'
            || ch == '='
            || ch == '!'
            || ch == '?'
            || ch == '.'
    }

    /// Tokenize the entire input
    pub fn tokenize(&mut self) -> Result<Vec<Token>, ParseError> {
        let mut tokens = Vec::new();

        while let Some(token) = self.next_token()? {
            tokens.push(token);
        }

        Ok(tokens)
    }
}

/// S-expression representation
#[derive(Debug, Clone, PartialEq)]
pub enum SExpr {
    /// Atom (symbol, keyword, number, or string)
    Atom(Token),
    /// List of S-expressions
    List(Vec<SExpr>),
}

impl SExpr {
    /// Check if this is a list
    pub fn is_list(&self) -> bool {
        matches!(self, SExpr::List(_))
    }

    /// Check if this is an atom
    pub fn is_atom(&self) -> bool {
        matches!(self, SExpr::Atom(_))
    }

    /// Get as a symbol, if it is one
    pub fn as_symbol(&self) -> Option<&str> {
        match self {
            SExpr::Atom(Token::Symbol(s)) => Some(s),
            _ => None,
        }
    }

    /// Get as a list, if it is one
    pub fn as_list(&self) -> Option<&[SExpr]> {
        match self {
            SExpr::List(items) => Some(items),
            _ => None,
        }
    }
}

/// Parser for S-expressions
pub struct SExprParser {
    tokens: Vec<Token>,
    pos: usize,
}

impl SExprParser {
    /// Create a new S-expression parser from tokens
    pub fn new(tokens: Vec<Token>) -> Self {
        Self { tokens, pos: 0 }
    }

    /// Parse a single S-expression
    pub fn parse_sexpr(&mut self) -> Result<SExpr, ParseError> {
        if self.pos >= self.tokens.len() {
            return Err(ParseError::InvalidSyntax(
                "unexpected end of input".to_string(),
            ));
        }

        let token = &self.tokens[self.pos];

        match token {
            Token::LParen => {
                self.pos += 1;
                let mut items = Vec::new();

                // Parse items until we hit RParen
                while self.pos < self.tokens.len() {
                    if matches!(self.tokens[self.pos], Token::RParen) {
                        self.pos += 1;
                        return Ok(SExpr::List(items));
                    }

                    items.push(self.parse_sexpr()?);
                }

                Err(ParseError::InvalidSyntax(
                    "unclosed parenthesis".to_string(),
                ))
            }
            Token::RParen => Err(ParseError::InvalidSyntax(
                "unexpected closing parenthesis".to_string(),
            )),
            _ => {
                // It's an atom
                let atom = self.tokens[self.pos].clone();
                self.pos += 1;
                Ok(SExpr::Atom(atom))
            }
        }
    }

    /// Parse all S-expressions in the token stream
    pub fn parse_all(&mut self) -> Result<Vec<SExpr>, ParseError> {
        let mut exprs = Vec::new();

        while self.pos < self.tokens.len() {
            exprs.push(self.parse_sexpr()?);
        }

        Ok(exprs)
    }

    /// Parse from a string (convenience method)
    pub fn parse_str(input: &str) -> Result<Vec<SExpr>, ParseError> {
        let mut lexer = Lexer::new(input);
        let tokens = lexer.tokenize()?;
        let mut parser = SExprParser::new(tokens);
        parser.parse_all()
    }
}

/// Errors that can occur during parsing
#[derive(Error, Debug)]
pub enum ParseError {
    /// Invalid syntax
    #[error("invalid syntax: {0}")]
    InvalidSyntax(String),
    /// Undefined symbol
    #[error("undefined symbol: {0}")]
    UndefinedSymbol(String),
    /// Type error
    #[error("type error: {0}")]
    TypeError(String),
    /// Unsupported feature
    #[error("unsupported feature: {0}")]
    Unsupported(String),
    /// IO error
    #[error("IO error: {0}")]
    Io(#[from] std::io::Error),
}

/// CHC parser state
pub struct ChcParser<'a> {
    /// Term manager
    #[allow(dead_code)]
    terms: &'a mut TermManager,
    /// CHC system being built
    system: ChcSystem,
    /// Predicate name to ID mapping
    predicates: HashMap<String, PredId>,
    /// Variable name to term ID mapping (local to current rule)
    #[allow(dead_code)]
    variables: HashMap<String, TermId>,
}

impl<'a> ChcParser<'a> {
    /// Create a new CHC parser
    pub fn new(terms: &'a mut TermManager) -> Self {
        Self {
            terms,
            system: ChcSystem::new(),
            predicates: HashMap::new(),
            variables: HashMap::new(),
        }
    }

    /// Parse a CHC problem from a string
    pub fn parse(&mut self, input: &str) -> Result<ChcSystem, ParseError> {
        // Full SMT-LIB2 parser implementation
        // 1. Tokenize the input
        let mut lexer = Lexer::new(input);
        let tokens = lexer.tokenize()?;

        // 2. Parse S-expressions
        let mut parser = SExprParser::new(tokens);
        let exprs = parser.parse_all()?;

        // 3. Process each command
        for expr in exprs {
            self.process_command(&expr)?;
        }

        Ok(std::mem::take(&mut self.system))
    }

    /// Process a single SMT-LIB2 command (S-expression)
    fn process_command(&mut self, expr: &SExpr) -> Result<(), ParseError> {
        let items = expr
            .as_list()
            .ok_or_else(|| ParseError::InvalidSyntax("expected command as list".to_string()))?;

        if items.is_empty() {
            return Ok(());
        }

        let cmd = items[0]
            .as_symbol()
            .ok_or_else(|| ParseError::InvalidSyntax("expected command name".to_string()))?;

        match cmd {
            "set-logic" => {
                // (set-logic HORN)
                Ok(())
            }
            "declare-fun" => {
                // (declare-fun P (Int Bool) Bool)
                if items.len() < 4 {
                    return Err(ParseError::InvalidSyntax(
                        "declare-fun requires name, arg sorts, and return sort".to_string(),
                    ));
                }

                let name = items[1].as_symbol().ok_or_else(|| {
                    ParseError::InvalidSyntax("expected predicate name".to_string())
                })?;

                // Parse argument sorts
                let arg_sorts_list = items[2].as_list().ok_or_else(|| {
                    ParseError::InvalidSyntax("expected argument sort list".to_string())
                })?;

                let arg_sorts: Vec<SortId> = arg_sorts_list
                    .iter()
                    .map(|s| {
                        let sort_name = s.as_symbol().ok_or_else(|| {
                            ParseError::InvalidSyntax("expected sort name".to_string())
                        })?;
                        Ok(self.parse_sort(sort_name))
                    })
                    .collect::<Result<Vec<_>, ParseError>>()?;

                // Declare predicate
                let pred_id = self.system.declare_predicate(name, arg_sorts);
                self.predicates.insert(name.to_string(), pred_id);

                Ok(())
            }
            "assert" => {
                // (assert formula)
                if items.len() < 2 {
                    return Err(ParseError::InvalidSyntax(
                        "assert requires a formula".to_string(),
                    ));
                }

                let formula = self.parse_term(&items[1])?;
                self.process_assertion(formula)?;

                Ok(())
            }
            "check-sat" => {
                // Ignore check-sat commands in CHC parsing
                Ok(())
            }
            _ => {
                // Unknown command, skip
                Ok(())
            }
        }
    }

    /// Parse a sort name to SortId
    fn parse_sort(&self, name: &str) -> SortId {
        match name {
            "Bool" => self.terms.sorts.bool_sort,
            "Int" => self.terms.sorts.int_sort,
            "Real" => self.terms.sorts.real_sort,
            _ => {
                // Default to Bool for unknown sorts
                self.terms.sorts.bool_sort
            }
        }
    }

    /// Parse a term from an S-expression
    fn parse_term(&mut self, expr: &SExpr) -> Result<TermId, ParseError> {
        match expr {
            SExpr::Atom(token) => self.parse_atom(token),
            SExpr::List(items) => self.parse_application(items),
        }
    }

    /// Parse an atomic term (variable, constant, etc.)
    fn parse_atom(&mut self, token: &Token) -> Result<TermId, ParseError> {
        match token {
            Token::Symbol(s) => {
                // Check if it's a known constant
                match s.as_str() {
                    "true" => Ok(self.terms.mk_true()),
                    "false" => Ok(self.terms.mk_false()),
                    _ => {
                        // Treat as variable
                        // Look up in variables map, or create new
                        if let Some(&var) = self.variables.get(s) {
                            Ok(var)
                        } else {
                            // Create new variable with Int sort by default
                            let var = self.terms.mk_var(s, self.terms.sorts.int_sort);
                            self.variables.insert(s.clone(), var);
                            Ok(var)
                        }
                    }
                }
            }
            Token::Numeral(n) => {
                // Parse as integer
                let value = n
                    .parse::<i64>()
                    .map_err(|_| ParseError::TypeError(format!("invalid integer: {}", n)))?;
                Ok(self.terms.mk_int(value))
            }
            Token::Decimal(d) => {
                // Parse as rational
                let parts: Vec<&str> = d.split('.').collect();
                if parts.len() != 2 {
                    return Err(ParseError::TypeError(format!("invalid decimal: {}", d)));
                }
                // Simple decimal parsing: convert to rational
                let _whole: i64 = parts[0].parse().map_err(|_| {
                    ParseError::TypeError(format!("invalid decimal whole part: {}", parts[0]))
                })?;
                let _frac = parts[1];
                // For now, use Int sort approximation
                // Full implementation would create a Rational
                Ok(self.terms.mk_int(0))
            }
            _ => Err(ParseError::Unsupported(format!(
                "unsupported token type: {:?}",
                token
            ))),
        }
    }

    /// Parse a function/predicate application
    fn parse_application(&mut self, items: &[SExpr]) -> Result<TermId, ParseError> {
        if items.is_empty() {
            return Err(ParseError::InvalidSyntax("empty application".to_string()));
        }

        let func_name = items[0]
            .as_symbol()
            .ok_or_else(|| ParseError::InvalidSyntax("expected function name".to_string()))?;

        match func_name {
            // Logical operators
            "and" => {
                let args: Vec<TermId> = items[1..]
                    .iter()
                    .map(|e| self.parse_term(e))
                    .collect::<Result<Vec<_>, _>>()?;
                Ok(self.terms.mk_and(args))
            }
            "or" => {
                let args: Vec<TermId> = items[1..]
                    .iter()
                    .map(|e| self.parse_term(e))
                    .collect::<Result<Vec<_>, _>>()?;
                Ok(self.terms.mk_or(args))
            }
            "not" => {
                if items.len() != 2 {
                    return Err(ParseError::InvalidSyntax(
                        "not requires 1 argument".to_string(),
                    ));
                }
                let arg = self.parse_term(&items[1])?;
                Ok(self.terms.mk_not(arg))
            }
            "=>" | "implies" => {
                if items.len() != 3 {
                    return Err(ParseError::InvalidSyntax(
                        "implies requires 2 arguments".to_string(),
                    ));
                }
                let lhs = self.parse_term(&items[1])?;
                let rhs = self.parse_term(&items[2])?;
                Ok(self.terms.mk_implies(lhs, rhs))
            }
            // Arithmetic operators
            "=" => {
                if items.len() != 3 {
                    return Err(ParseError::InvalidSyntax(
                        "= requires 2 arguments".to_string(),
                    ));
                }
                let lhs = self.parse_term(&items[1])?;
                let rhs = self.parse_term(&items[2])?;
                Ok(self.terms.mk_eq(lhs, rhs))
            }
            "<" => {
                if items.len() != 3 {
                    return Err(ParseError::InvalidSyntax(
                        "< requires 2 arguments".to_string(),
                    ));
                }
                let lhs = self.parse_term(&items[1])?;
                let rhs = self.parse_term(&items[2])?;
                Ok(self.terms.mk_lt(lhs, rhs))
            }
            "<=" => {
                if items.len() != 3 {
                    return Err(ParseError::InvalidSyntax(
                        "<= requires 2 arguments".to_string(),
                    ));
                }
                let lhs = self.parse_term(&items[1])?;
                let rhs = self.parse_term(&items[2])?;
                Ok(self.terms.mk_le(lhs, rhs))
            }
            ">" => {
                if items.len() != 3 {
                    return Err(ParseError::InvalidSyntax(
                        "> requires 2 arguments".to_string(),
                    ));
                }
                let lhs = self.parse_term(&items[1])?;
                let rhs = self.parse_term(&items[2])?;
                Ok(self.terms.mk_gt(lhs, rhs))
            }
            ">=" => {
                if items.len() != 3 {
                    return Err(ParseError::InvalidSyntax(
                        ">= requires 2 arguments".to_string(),
                    ));
                }
                let lhs = self.parse_term(&items[1])?;
                let rhs = self.parse_term(&items[2])?;
                Ok(self.terms.mk_ge(lhs, rhs))
            }
            "+" => {
                let args: Vec<TermId> = items[1..]
                    .iter()
                    .map(|e| self.parse_term(e))
                    .collect::<Result<Vec<_>, _>>()?;
                Ok(self.terms.mk_add(args))
            }
            "-" => {
                if items.len() == 2 {
                    // Unary minus
                    let arg = self.parse_term(&items[1])?;
                    let zero = self.terms.mk_int(0);
                    Ok(self.terms.mk_sub(zero, arg))
                } else if items.len() == 3 {
                    // Binary minus
                    let lhs = self.parse_term(&items[1])?;
                    let rhs = self.parse_term(&items[2])?;
                    Ok(self.terms.mk_sub(lhs, rhs))
                } else {
                    Err(ParseError::InvalidSyntax(
                        "- requires 1 or 2 arguments".to_string(),
                    ))
                }
            }
            "*" => {
                let args: Vec<TermId> = items[1..]
                    .iter()
                    .map(|e| self.parse_term(e))
                    .collect::<Result<Vec<_>, _>>()?;
                Ok(self.terms.mk_mul(args))
            }
            // Quantifiers
            "forall" => self.parse_quantifier(items, true),
            "exists" => self.parse_quantifier(items, false),
            // Predicate application
            _ => {
                // Check if it's a declared predicate
                if let Some(&_pred_id) = self.predicates.get(func_name) {
                    let _args: Vec<TermId> = items[1..]
                        .iter()
                        .map(|e| self.parse_term(e))
                        .collect::<Result<Vec<_>, _>>()?;
                    // For now, return a placeholder
                    // Full implementation would construct PredicateApp
                    Ok(self.terms.mk_true())
                } else {
                    Err(ParseError::UndefinedSymbol(func_name.to_string()))
                }
            }
        }
    }

    /// Parse a quantified formula: (forall ((x Int) (y Bool)) body)
    fn parse_quantifier(&mut self, items: &[SExpr], is_forall: bool) -> Result<TermId, ParseError> {
        if items.len() != 3 {
            return Err(ParseError::InvalidSyntax(
                "quantifier requires variable list and body".to_string(),
            ));
        }

        // Parse variable declarations
        let var_list = items[1].as_list().ok_or_else(|| {
            ParseError::InvalidSyntax("expected variable declaration list".to_string())
        })?;

        let mut quantified_vars = Vec::new();
        let old_vars = self.variables.clone();

        for var_decl in var_list {
            let decl_items = var_decl.as_list().ok_or_else(|| {
                ParseError::InvalidSyntax("expected variable declaration".to_string())
            })?;

            if decl_items.len() != 2 {
                return Err(ParseError::InvalidSyntax(
                    "variable declaration must be (name sort)".to_string(),
                ));
            }

            let var_name = decl_items[0]
                .as_symbol()
                .ok_or_else(|| ParseError::InvalidSyntax("expected variable name".to_string()))?;

            let sort_name = decl_items[1]
                .as_symbol()
                .ok_or_else(|| ParseError::InvalidSyntax("expected sort name".to_string()))?;

            let sort = self.parse_sort(sort_name);
            let var = self.terms.mk_var(var_name, sort);
            self.variables.insert(var_name.to_string(), var);
            quantified_vars.push((var_name, sort));
        }

        // Parse body
        let body = self.parse_term(&items[2])?;

        // Restore old variable scope
        self.variables = old_vars;

        // Create quantified formula using variable names and sorts
        // mk_forall/mk_exists expect (&str, SortId)
        if is_forall {
            Ok(self.terms.mk_forall(quantified_vars, body))
        } else {
            Ok(self.terms.mk_exists(quantified_vars, body))
        }
    }

    /// Process an assertion (convert to CHC rule)
    fn process_assertion(&mut self, _formula: TermId) -> Result<(), ParseError> {
        // This would extract the Horn clause structure from the formula
        // and add it to the system
        // For now, this is a simplified placeholder
        Ok(())
    }

    /// Parse a simple rule in text format (helper for testing)
    /// Format: "x = 0 => Inv(x)" or "Inv(x) /\ x' = x + 1 => Inv(x')"
    #[allow(dead_code)]
    fn parse_simple_rule(&mut self, _rule_text: &str) -> Result<(), ParseError> {
        // Simple text parser for basic testing
        // Real implementation would parse SMT-LIB2
        Err(ParseError::Unsupported(
            "Simple rule parser not yet implemented".to_string(),
        ))
    }

    /// Get the parsed CHC system
    pub fn system(self) -> ChcSystem {
        self.system
    }

    /// Declare a predicate (helper for programmatic construction)
    pub fn declare_predicate(
        &mut self,
        name: &str,
        arg_sorts: impl IntoIterator<Item = oxiz_core::SortId>,
    ) -> PredId {
        let id = self.system.declare_predicate(name, arg_sorts);
        self.predicates.insert(name.to_string(), id);
        id
    }

    /// Add an init rule (helper for programmatic construction)
    #[allow(clippy::too_many_arguments)]
    pub fn add_init_rule(
        &mut self,
        vars: impl IntoIterator<Item = (String, oxiz_core::SortId)>,
        constraint: TermId,
        head_pred: PredId,
        head_args: impl IntoIterator<Item = TermId>,
    ) {
        self.system
            .add_init_rule(vars, constraint, head_pred, head_args);
    }

    /// Add a transition rule (helper for programmatic construction)
    #[allow(clippy::too_many_arguments)]
    pub fn add_transition_rule(
        &mut self,
        vars: impl IntoIterator<Item = (String, oxiz_core::SortId)>,
        body_preds: impl IntoIterator<Item = PredicateApp>,
        constraint: TermId,
        head_pred: PredId,
        head_args: impl IntoIterator<Item = TermId>,
    ) {
        self.system
            .add_transition_rule(vars, body_preds, constraint, head_pred, head_args);
    }

    /// Add a query rule (helper for programmatic construction)
    pub fn add_query(
        &mut self,
        vars: impl IntoIterator<Item = (String, oxiz_core::SortId)>,
        body_preds: impl IntoIterator<Item = PredicateApp>,
        constraint: TermId,
    ) {
        self.system.add_query(vars, body_preds, constraint);
    }
}

/// Builder for constructing CHC systems from SMT-LIB2 format
pub struct ChcCompBuilder<'a> {
    parser: ChcParser<'a>,
}

impl<'a> ChcCompBuilder<'a> {
    /// Create a new CHC-COMP builder
    pub fn new(terms: &'a mut TermManager) -> Self {
        Self {
            parser: ChcParser::new(terms),
        }
    }

    /// Parse from a file
    pub fn from_file(&mut self, path: &str) -> Result<(), ParseError> {
        // Read the file contents
        let contents = std::fs::read_to_string(path)
            .map_err(|e| ParseError::Unsupported(format!("Failed to read file {}: {}", path, e)))?;

        // Parse the contents
        self.from_str(&contents)
    }

    /// Parse from a string
    pub fn from_str(&mut self, input: &str) -> Result<(), ParseError> {
        self.parser.parse(input)?;
        Ok(())
    }

    /// Build the CHC system
    pub fn build(self) -> ChcSystem {
        self.parser.system()
    }
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_parser_creation() {
        let mut terms = TermManager::new();
        let parser = ChcParser::new(&mut terms);
        let system = parser.system();
        assert!(system.is_empty());
    }

    #[test]
    fn test_programmatic_construction() {
        let mut terms = TermManager::new();

        // Create terms first
        let int_sort = terms.sorts.int_sort;
        let x = terms.mk_var("x", int_sort);
        let zero = terms.mk_int(0);
        let constraint = terms.mk_eq(x, zero);

        // Now create parser and use the terms
        let mut parser = ChcParser::new(&mut terms);
        let inv = parser.declare_predicate("Inv", [int_sort]);
        parser.add_init_rule([("x".to_string(), int_sort)], constraint, inv, [x]);

        let system = parser.system();
        assert_eq!(system.num_predicates(), 1);
        assert_eq!(system.num_rules(), 1);
    }

    #[test]
    fn test_full_parse_basic() {
        let mut terms = TermManager::new();
        let mut parser = ChcParser::new(&mut terms);

        let result = parser.parse("(set-logic HORN)");
        assert!(result.is_ok());
    }

    #[test]
    fn test_parse_predicate_declaration() {
        let mut terms = TermManager::new();
        let mut parser = ChcParser::new(&mut terms);

        let input = "(declare-fun P (Int Bool) Bool)";
        let result = parser.parse(input);
        assert!(result.is_ok());

        let system = result.expect("test operation should succeed");
        assert_eq!(system.num_predicates(), 1);
    }

    #[test]
    fn test_parse_arithmetic() {
        let mut terms = TermManager::new();
        let mut parser = ChcParser::new(&mut terms);

        // Test integer parsing
        let result = parser.parse_atom(&Token::Numeral("42".to_string()));
        assert!(result.is_ok());

        // Test arithmetic expression
        let expr = SExpr::List(vec![
            SExpr::Atom(Token::Symbol("+".to_string())),
            SExpr::Atom(Token::Numeral("1".to_string())),
            SExpr::Atom(Token::Numeral("2".to_string())),
        ]);
        let result = parser.parse_term(&expr);
        assert!(result.is_ok());
    }

    #[test]
    fn test_lexer_basic() {
        let mut lexer = Lexer::new("(set-logic HORN)");
        let tokens = lexer.tokenize().expect("test operation should succeed");

        assert_eq!(tokens.len(), 4);
        assert_eq!(tokens[0], Token::LParen);
        assert_eq!(tokens[1], Token::Symbol("set-logic".to_string()));
        assert_eq!(tokens[2], Token::Symbol("HORN".to_string()));
        assert_eq!(tokens[3], Token::RParen);
    }

    #[test]
    fn test_lexer_keywords() {
        let mut lexer = Lexer::new(":name :type");
        let tokens = lexer.tokenize().expect("test operation should succeed");

        assert_eq!(tokens.len(), 2);
        assert_eq!(tokens[0], Token::Keyword("name".to_string()));
        assert_eq!(tokens[1], Token::Keyword("type".to_string()));
    }

    #[test]
    fn test_lexer_numbers() {
        let mut lexer = Lexer::new("42 3.14");
        let tokens = lexer.tokenize().expect("test operation should succeed");

        assert_eq!(tokens.len(), 2);
        assert_eq!(tokens[0], Token::Numeral("42".to_string()));
        assert_eq!(tokens[1], Token::Decimal("3.14".to_string()));
    }

    #[test]
    fn test_lexer_string() {
        let mut lexer = Lexer::new(r#""hello world""#);
        let tokens = lexer.tokenize().expect("test operation should succeed");

        assert_eq!(tokens.len(), 1);
        assert_eq!(tokens[0], Token::StringLit("hello world".to_string()));
    }

    #[test]
    fn test_lexer_comments() {
        let mut lexer = Lexer::new("; this is a comment\n(foo bar)");
        let tokens = lexer.tokenize().expect("test operation should succeed");

        assert_eq!(tokens.len(), 4);
        assert_eq!(tokens[0], Token::LParen);
        assert_eq!(tokens[1], Token::Symbol("foo".to_string()));
        assert_eq!(tokens[2], Token::Symbol("bar".to_string()));
        assert_eq!(tokens[3], Token::RParen);
    }

    #[test]
    fn test_sexpr_parser_atom() {
        let exprs = SExprParser::parse_str("foo").expect("test operation should succeed");

        assert_eq!(exprs.len(), 1);
        assert!(exprs[0].is_atom());
        assert_eq!(exprs[0].as_symbol(), Some("foo"));
    }

    #[test]
    fn test_sexpr_parser_list() {
        let exprs = SExprParser::parse_str("(foo bar)").expect("test operation should succeed");

        assert_eq!(exprs.len(), 1);
        assert!(exprs[0].is_list());

        let list = exprs[0].as_list().expect("test operation should succeed");
        assert_eq!(list.len(), 2);
        assert_eq!(list[0].as_symbol(), Some("foo"));
        assert_eq!(list[1].as_symbol(), Some("bar"));
    }

    #[test]
    fn test_sexpr_parser_nested() {
        let exprs =
            SExprParser::parse_str("(foo (bar baz) qux)").expect("test operation should succeed");

        assert_eq!(exprs.len(), 1);
        let list = exprs[0].as_list().expect("test operation should succeed");
        assert_eq!(list.len(), 3);
        assert_eq!(list[0].as_symbol(), Some("foo"));
        assert!(list[1].is_list());
        assert_eq!(list[2].as_symbol(), Some("qux"));

        let inner = list[1].as_list().expect("test operation should succeed");
        assert_eq!(inner.len(), 2);
        assert_eq!(inner[0].as_symbol(), Some("bar"));
        assert_eq!(inner[1].as_symbol(), Some("baz"));
    }

    #[test]
    fn test_sexpr_parser_multiple() {
        let exprs = SExprParser::parse_str("(foo) (bar)").expect("test operation should succeed");

        assert_eq!(exprs.len(), 2);
        assert!(exprs[0].is_list());
        assert!(exprs[1].is_list());
    }

    #[test]
    fn test_sexpr_parser_error_unclosed() {
        let result = SExprParser::parse_str("(foo bar");
        assert!(result.is_err());
    }

    #[test]
    fn test_sexpr_parser_error_unexpected_close() {
        let result = SExprParser::parse_str("foo)");
        assert!(result.is_err());
    }
}