The Heuristic Theorem Prover: Yet another SMT Modulo Theorem Prover (Tool Paper)
نویسنده
چکیده
HTP is an SMT Modulo theorem prover similar to many others.[2–6, 9, 11] As input, HTP accepts problems using the SMT-LIB format[8]. As output, HTP will answer either SAT, UNSAT or UNKNOWN. Alternatively, HTP can be run in a preprocessing mode in which the output is the simplified problem in SMTLIB format. An evidence file showing the derivation in a human readable form can be produced. There is a Treeview application which shows this derivation in a tree widget making it convenient to navigate a complex proof. The main contribution of HTP is the introduction of a preprocessor that includes algorithms for detecting unate predicates, eliminating variables, symmetry breaking and boolean encoding. The other algorithms of HTP are similar to other systems. HTP implements a DPLL(T) similar to BarcelogicTools[6]. There are domain theories for equality of uninterpreted function symbols, real difference logic, linear inequality and array logic.
منابع مشابه
The Heuristic Theorem Prover: Yet Another SMT Modulo Theorem Prover
HTP is an SMT Modulo theorem prover similar to many others.[2–6, 9, 11] As input, HTP accepts problems using the SMT-LIB format[8]. As output, HTP will answer either SAT, UNSAT or UNKNOWN. Alternatively, HTP can be run in a preprocessing mode in which the output is the simplified problem in SMTLIB format. An evidence file showing the derivation in a human readable form can be produced. There is...
متن کاملAVATAR Modulo Theories
This paper introduces a new technique for reasoning with quantifiers and theories. Traditionally, first-order theorem provers (ATPs) are well suited to reasoning with first-order problems containing many quantifiers and satisfiability modulo theories (SMT) solvers are well suited to reasoning with first-order problems in ground theories such as arithmetic. A recent development in first-order th...
متن کاملT-Decision by Decomposition
Much research concerning Satisfiability Modulo Theories is devoted to the design of efficient SMT-solvers that integrate a SATsolver with T -satisfiability procedures. The rewrite-based approach to T -satisfiability procedures is appealing, because it is general, uniform and it makes combination of theories simple. However, SAT-solvers are unparalleled in handling the large Boolean part of T -d...
متن کاملMy Life with an Automatic Theorem Prover
Sledgehammer integrates third-party automatic theorem provers in the proof assistant Isabelle/HOL. In the seven years since its first release in 2007, it has grown to become an essential part of most Isabelle users’ workflow. Although a lot of effort has gone into tuning the system, the main reason for Sledgehammer’s success is the impressive power of the external provers, especially E, SPASS, ...
متن کاملPractical Proof Reconstruction for First-order Logic and Set-Theoretical Constructions
Proof reconstruction is a technique that combines an interactive theorem prover and an automatic one in a sound way, so that users benefit from the expressiveness of the first tool and the automation of the latter. We present an implementation of proof reconstruction for first-order logic and set-theoretical constructions between the interactive theorem prover Isabelle and the automatic SMT pro...
متن کامل