PPT-Decidable Verification of Uninterpreted Programs

Umang Mathur P Madhusudan Mahesh Viswanathan Existing Decidable Classes Program Verification Unnatural program models Undecidable In general verification over infinite domains is undecidable. A is a decidable language q0 0111 q0 q1q2q3 01 q0q2q3 0111 Decidable Problems q0 A B is an NFA B accepts w NFA Th A is decidable NFA q1q2q3 01 q0 q0 q1 brPage 2br Decidable Problems DFA E B is a DFA LB is nonempty Th E is decidable DFA L Sipser. 4.1 (pages 165-173). Hierarchy of languages. All languages. Turing-recognizable. Turing-decidable. Context-free languages. Regular languages. 0. n. 1. n. a. n. b. n. c. n. D. 0. *. 1. *. Describing Turing machine input. 1. . Theory of Computation Peer Instruction Lecture Slides by . Dr. Cynthia Lee, UCSD.  are licensed under a . Creative Commons Attribution-. NonCommercial. -. ShareAlike. 3.0 . Unported. License. Singularity and seL. 4. Outline. Formal Verification & Type Systems. Singularity. Software-Isolated Processes. Contract-Based Channels. Manifest-Based Programs. Formal Verification. seL4. Assumptions. bn wwR Our main goal is to exhibit a language L that (via Automated Refinement Type Inference). Tachio. Terauchi. Nagoya University. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. A. Verifying higher-order functional programs. Lecture on relational semantics. Exercises on logic and relations. Labs on using Isabelle to do proofs. Synthesis, Analysis, and Verification. Lecture . 02a. Lectures: . . . Viktor . Kuncak. Relational Semantics. VMCAI 2012. January 24, 2012. Arie. . Gurfinkel. , . Sagar. . Chaki. SEI/CMU. Ofer. . Strichman. Technion. Regression Verification. Formal equivalence checking of two similar programs. Three selling points:. Systems. Timed to Hybrid Automata . Sayan. . Mitra. . (edited by Yu Wang). Lecture 10. Announcements. HW2 released . start soon. Readings. [Henz95]. Thomas . Henzinger. , Peter . Kopke. , . Anuj. . Turing Machine: Languages. Recall that a collection of strings that a TM M accepts is called. the language of M or language recognized by M, denoted L(M).. Definition. A . language is Turing-recognizable (or recursively enumerable) if . Fall 2017. http://cseweb.ucsd.edu/. classes/fa17/cse105-a/. Today's learning goals . Sipser Ch 4.1. Explain what it means for a problem to be decidable.. Justify the use of encoding.. Give examples of decidable problems.. Fall 2017. http://cseweb.ucsd.edu/. classes/fa17/cse105-a/. Today's learning goals . Sipser Ch 4.1. Explain what it means for a problem to be decidable.. Justify the use of encoding.. Give examples of decidable problems.. Verification Tracking Flag. 2016-2017. 2017-2018. V1. Standard Verification Group. Standard Verification Group. V4. Custom Verification (HS Completion, Identity, SNAP, Child Support Paid). Based on . M. . Sipser. , “Introduction to the Theory of Computation,” Second Edition, Thomson/Course Technology, 2006, Chapter 5.. Review. Recall the . halting problem. :. . HALT. TM. = { . .