Processor Control Logic Verification

Concept

Processor control logic verification is the process of formally checking that a processor's control logic correctly implements its intended instruction-set behavior. A prominent formal approach abstracts the data computations of a processor using the logic of equality with uninterpreted functions (EUF), reducing verification conditions to propositional formulas so that Boolean methods such as Ordered Binary Decision Diagrams (BDDs) and Boolean satisfiability (SAT) checkers can be applied. Specialized reductions that exploit structural properties of verification conditions—most notably the prevalence of equations in positive form—can greatly simplify the resulting propositional formulas and make pipelined processor verification tractable.

First seen 6/5/2026

Last seen 6/5/2026

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Processor Control Logic Verification

Overview

Processor control logic verification is a class of formal hardware verification that aims to prove, by automatic or semi-automatic means, that a processor's control logic correctly implements its architectural specification. Because a full verification of a processor's data path can be overwhelmingly complex, control logic verification typically focuses on the control-oriented behavior of a design, often abstracting away concrete data computations.

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Processor Verification Using Efficient Reductions of the Logic of Uninterpreted Functions to Propositional Logic ← evaluates 100% 1e

The paper targets verification of processor control logic correctness using EUF reductions.

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[1] The logic of equality with uninterpreted functions (EUF) provides a means of abstracting the manipulation of data by a processor when verifying the correctness of its control logic. Processor Verification Using Efficient Reductions of the Logic of Uninterpreted Functions to Propositional Logic

[2] By reducing formulas in EUF to propositional formulas, Boolean methods such as Ordered Binary Decision Diagrams (BDDs) and Boolean satisfiability checkers can be applied to perform the verification. Processor Verification Using Efficient Reductions of the Logic of Uninterpreted Functions to Propositional Logic

[3] Many equations in verification conditions appear only in positive form, allowing the set of interpretations of function symbols to be reduced to those that are 'maximally diverse.' Processor Verification Using Efficient Reductions of the Logic of Uninterpreted Functions to Propositional Logic

[4] Experimental results demonstrate the efficiency of this approach when verifying pipelined processors using the method proposed by Burch and Dill. Processor Verification Using Efficient Reductions of the Logic of Uninterpreted Functions to Propositional Logic

[5] The paper is authored by Randal E. Bryant and two other authors, was submitted on 14 October 1999, and revised on 6 July 2000 (v2). Processor Verification Using Efficient Reductions of the Logic of Uninterpreted Functions to Propositional Logic