# Questions tagged [smt-solvers]

Solver programs for the Satisfiability Modulo Theories (SMT). The SMT problem is a decision problem for logical formulas with combinations of background theories expressed in classical first-order logic with equality.

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### Exponential example for simplex used in SMT solvers

The original simplex algorithm requires an exponential number of pivot operations in the worst case, e.g., if run on the Klee-Minty example [3,4]. What about the simplex algorithm used in SMT solvers ...
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### Introduction to bounded model checking that describes model generation

Most of the tutorials I have found on model checking and bounded model checking start with, the model is given as a Kripke Structure M = (S,I,T,L) where S is a set of states, I is a set of initial ...
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### How the $EX(f)$ is evaluated in symbolic model checking?

I was reading the symbolic model checking, So there it has mentioned that we can represent the set of states and transition relations of any transition system with the help of ROBDDs. I was trying to ...
187 views

### Passing arrays vs functions as arguments in SMT?

In SAT Modulo Theories (SMT), with the theory of uninterpreted functions, all functions are first order, that is, they don't take functions as arguments or return functions. In the theory of arrays, ...
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1 vote
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### A Fast Linear-Arithmetic Solver: How can Gaussian elimination be used to simplify matrix A?

I am working on an LRA Theory solver for SymPy, an open source python library for symbolic computations. You can find my work here. Currently I'm trying to optimize it to run faster. My implementation ...
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1 vote
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### SMT solver gives up on seemingly trivial problem

I expected CVC5 to produce a proof given the following problem in TPTP format. Why does CVC5 give up on the TPTP problem, but works just fine on the same problem given in SMT-LIB2? In human words, the ...
1 vote
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### Is there an SMT/SAT algorithm for General Predicate Logic (FOL)?

I'm learning how to write my own theorem prover. After skimming Decision Procedures (Kroening & Strichman, 2016), I didn't find any SMT algorithms for solving quantified n-ary predicate formulas. ...
• 111
1 vote
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### SMT validity solvers/ quantifier elimination in Ocaml

I am working on my own expression package in Ocaml and have to perform both validity queries and quantifier elimination. I have already implemented Cooper's procedure (for Presburger and Linear ...
• 113
1 vote
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### General Understanding of SMT Solving Across Multiple Theories

My first question was a little too simplified in that it turned out to be an integer linear programming problem solvable with the Simplex Method. However, what I think I am wondering about is how to ...
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### Common clauses in two CNF formulas

How to identify the number of common clauses in two CNF formulas? For example, for formulas: (x1∨¬x2)∧(¬x1∨x3)∧(x2∨¬x3) and (x1∨¬x2)∧(x2∨¬x3)∧(x1∨x3), the common clauses are (x1∨¬x2) and (x2∨¬x3). ...
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### How do static analysis tools automate separation logic?

I understand separation logic as a form of verification method, similar to Hoare logic. That is, they allow to reason about statements of the form $\{P\} C \{Q\}$, where $C$ is an instruction, and $P$ ...
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### Specific quantifier elimination for real algebraic numbers

It is well-known that the theory of (first-order) real arithmetic, $\mathcal{T}_{\mathbb{R}}$, is decidable, both on its linear and non-linear (a.k.a field) fragments, since Tarski-Seindenberg proved ...
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### SAT solvers that can compute prime implicants and/or minimization

I'm looking into computing the prime implicants of a Boolean function. I have found many different algorithms in the literature, many of them relying on SAT solvers. However, I have not been able to ...
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### Program synthesis based on function properties

I am fairly new at program synthesis and the use of SMT solvers for this purpose. Given a function g, I want to generate all the functions f and h such that the following holds: f . g = h . f Are ...
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