Guard(g,f) means if g then f. Boolean expressions g are represented using ROBDDs ... Choose(Guard(R(b),e1), Guard(R(NOT(b)),e2) 13. FCED Construction. FCED(y) ...
V(Guard(g,f)) = H(g)*V(f) H: Guard ! Integer. H(true) = 1, H ... V(Guard(g,f)) = H(g) V(f) V(F(f1,f2)) = V(f1) M V(f2) N. M, N: random k k matrices ...
Vlad Rusu and Elena Zinovieva. IRISA / INRIA Rennes, France. 2. Outline. Motivation. Background ... Model for Programs which is: 5. Results. theoretical side ...
Join Algorithms for the Theory of Uninterpreted Functions ... Join(F(a)=a F(b)=b G(a)=G(b), a=b) = GFi(a)=GFi(b) The result of join is not finitely ...
Satisfiable/Unsatisfiable. Decision Procedure for Decidable Fragment of First-Order Logic ... satisfiable/unsatisfiable. 9. Small Domain Encoding (SD) x y ...
... Bit-vector, Sets, Linear-Arithmetic, Uninterpreted functions, More ... except linear arithmetic, have known ... linear arithmetic to propositional ...
Verification Task. Abstracted representation of data manipulation ... Initial memory state represented by uninterpreted function fM. Write(a1, d1); Write(a2, d2) ...
Automated Theorem Proving Lecture 4 Memory axiom Theories communicating via equality and variables Theory of arrays Theory of Equality with Uninterpreted Functions ...
Type Variables and Substitutions. Type variable (TVar): uninterpreted base ... side-effecting features such as mutable reference cells or exceptions, the type ...
Title: Formal Verification of Pipelined Processors Subject: ASIAN '97 presentation Author: Randal E. Bryant Last modified by: Randal E. Bryant Created Date
Combine the values of a variable at join points using a random affine combination ... Affine join preserves common linear relationships (e.g. a b=5) ...
What if we allow probabilistic soundness? ... Almost as simple as random testing but better soundness guarantees. ... soundness. Randomization suggests ideas ...
... in reorder buffer that will generate register value Inorder Retirement Managed by Retirement Buffer FIFO buffer keeping pending ... stdrd_cool fujitsu-99 ...
... Proof vs Incremental Proof of ... (b,a); Abstraction x=y and x=z Reasoning about multiplication is undecidable only x=y Reasoning is decidable but ...
Students create, devise, plan and generate(Synthesis) ... Evaluating explanatory hypotheses in ... ( Cognitive Dissonance) Creating mystery-type situations ...
... hidden pipeline registers and buffers. Verification ... Dynamically-allocated registers. Memory queue. Many buffers between stages ... Register states are ...
Theorem proving for first & higher order logics ... Check validity of F using decision ... Need to consider only finitely many interpretations of terms ' ...
Mutable function to describe buffer contents. Integers to represent head & tail pointers ... RF. Mem. Fetch. Decode. Execute. Memory. Write. Back. Integer state ...
Blue assertion requires reasoning about equality guard f=w. ... Consider the equality F(u) F(v) = F(a) F(b) ... There exists an equality e1=e2 whose ...
Gives purchasers easy options to increase computer power. Local Autonomy. Single user machines ... Security problems much trickier when no centralized control ...
Basic ideas behind TVLA. TVLA for Singly Linked Lists. Reachability ... Not a panacea. More instrumentation may lead to faster (and more precise) analysis ...
Shuvendu K. Lahiri Sanjit A. Seshia Randal E. Bryant Carnegie Mellon University, USA Processor Verification Views of System Operation Instruction Set Instructions ...
Inquiry Levels of Science Activities ... between evidence and explanation. Constructing and analyzing alternative explanations. Communicating results/arguments ...
Basis for most CAD, model checking. Words: View each word as arbitrary value ... Historic method for most CAD, testing, and verification tools. E.g., model checkers ...
Experimentally compared zChaff performance on SD and EIJ encodings of several ... Encode each class using SD or EIJ based on local decision. Encoded Boolean Formula ...
Formally verify hardware and software systems. Build on success in verifying ... Air Bag Controller. Speedometer. Reading. Accelerometer. Reading. Deploy! 4 ...
E.g., Verilog. Gate level. Bit Level. Bit Vector Level ... Generate mixed bit-vector / term model from Verilog. User annotates Verilog with type qualifiers ...
Address wa will get wd. Otherwise get what's already in M. Express with Lambda Notation ... wd. wa. 15. Systems with Buffers. Modeling Method. Mutable ...
... Validity of Quantifier-Free Formulas in Combinations of First-Order Theories ... A first-order theory is a set of first-order statements about a related set of ...
Almost as simple as random testing but better soundness guarantees. ... Muller-Olm, Seidl. Cons: O(k2) times slower. Pro: works for non-linear relationships too ...
Synchronization protocol that should work for arbitrary number of processes ... Simulators, model checkers, ... All Operate at Bit Level. State model ...
Determine the level of abstraction for non-annotated variables using type-inference ... Want to use as much abstraction as possible, model precisely only when ...
will find the word you type in any field of the record including author, ... Secondary sources may have pictures, quotes or graphics of primary sources in them. ...
Bits, Bit Vectors, or Words. http://www.cs.cmu.edu/~bryant. Randal E. Bryant ... Bits: Every bit is represented individually. Words: View each word as arbitrary value ...
Use of Partial Orders for Analysis and Synthesis of Asynchronous Circuits Alex Yakovlev School of EECE University of Newcastle upon Tyne Collaboration with A. Semenov ...
Behavioral Consistency. of C and Verilog Programs Using Bounded Model Checking. Daniel Kroening ... Processor (Verilog) vs. ISA (ANSI-C) Instruction fetch ...
a = intimate 1.5' b = personal 1.5-4' c = social 4-12' d = public 12' ... dynamics - seating people in certain positions according to the person's purpose ...
Accelerated Simulation. Get more simulation done in less time. Rigorous, formal verification ... Accelerated. Simulation. Rigorous Formal. Verification ...