'Linear arithmetic' presentation slideshows

Logical Abstract Interpretation

Logical Abstract Interpretation. Sumit Gulwani Microsoft Research, Redmond. Final Goal of the class. Automatically verify partial correctness of programs like the following using abstract interpretation. Void Init(int* A, int n) { for (i := 0; i<n; i++;) A[i] := 0;

620 views • 62 slides

Logical Abstract Interpretation

Logical Abstract Interpretation. Sumit Gulwani Microsoft Research, Redmond. Final Goal of the class. Automatically verify partial correctness of programs like the following using abstract interpretation. Void Init(int* A, int n) { for (i := 0; i<n; i++;) A[i] := 0;

626 views • 62 slides

Quantified Formulas

642 views • 53 slides

Course eval results

489 views • 48 slides

Nelson-Oppen review

466 views • 46 slides

SMELS: Sat Modulo Equality with Lazy Superposition

529 views • 39 slides

A propositional world

A propositional world. Ofer Strichman School of Computer Science, Carnegie Mellon University. Integrated decision procedures in Theorem-Provers. Deciding a combination of theories is the key for automation in Theorem Provers: Boolean operators, Bit-vector, Sets, Linear-Arithmetic,

385 views • 31 slides

A propositional world

A propositional world. Ofer Strichman Joint work with Randal Bryant and Sanjit Seshia School of Computer Science, Carnegie Mellon University. Integrated decision procedures in Theorem-Provers. Deciding a combination of theories is the key for automation in Theorem Provers:

423 views • 31 slides

On Solving Presburger and Linear Arithmetic with SAT

On Solving Presburger and Linear Arithmetic with SAT. Ofer Strichman Carnegie Mellon University. Quantifier-free Presburger formulas are rational constants. The decision problem. A Boolean combination of predicates of the form Disjunctive linear arithmetic are constants.

430 views • 30 slides

On Solving Presburger and Linear Arithmetic with SAT

On Solving Presburger and Linear Arithmetic with SAT. Ofer Strichman Carnegie Mellon University. Quantifier-free Presburger formulas are rational constants. The decision problem. A Boolean combination of predicates of the form Disjunctive linear arithmetic are constants.

337 views • 30 slides

Path-Sensitive Analysis for Linear Arithmetic and Uninterpreted Functions

Path-Sensitive Analysis for Linear Arithmetic and Uninterpreted Functions. SAS 2004 Sumit Gulwani George Necula EECS Department University of California, Berkeley. Example. All 3 asserts are true. False. True. a=2?. y := a; z := 2;. y := 2; z := a;. True. False. a=2?.

259 views • 25 slides

From Program Verification to Program Synthesis

From Program Verification to Program Synthesis. Saurabh Srivastava * Sumit Gulwani ? Jeffrey S. Foster * * University of Maryland, College Park ? Microsoft Research, Redmond. Program Synthesis. Goal: Automatically generate program Important benefits of program synthesis

401 views • 23 slides

Join Algorithms for the Theory of Uninterpreted Functions

Join Algorithms for the Theory of Uninterpreted Functions. Sumit Gulwani Ashish Tiwari George Necula UC-Berkeley SRI UC-Berkeley. Definition: Join in theory T. E = Join T ( E 1 , E 2 ) iff E 1 ) T E and E 2 ) T E

223 views • 16 slides

Join Algorithms for the Theory of Uninterpreted Functions

Join Algorithms for the Theory of Uninterpreted Functions. Sumit Gulwani Ashish Tiwari George Necula UC-Berkeley SRI UC-Berkeley. Definition: Join in theory T. E = Join T ( E 1 , E 2 ) iff E 1 ) T E and E 2 ) T E

236 views • 16 slides

Report on Project CComp

259 views • 15 slides

A framework for eager encoding

A framework for eager encoding. Daniel Kroening ETH, Switzerland Ofer Strichman Technion, Israel. (Executive summary) (submitted to: Formal Aspects of Computing). A generic framework for reducing decidable logics to propositional logic (beyond NP).

262 views • 13 slides