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STIMSMITH

State Machine Model

Concept

A state machine model, as described for UCLID5 hardware modeling, represents hardware state with present and next values. Next-state values are computed from current state and then all state variables are synchronously updated, making it suitable for modeling synchronous hardware such as pipelined microprocessors.

First seen 5/26/2026
Last seen 5/26/2026
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Definition

In the UCLID5 hardware-modeling setting, a state machine model represents a system by computing a next state from the current state and then transitioning to that next state. Hardware is expressed this way in UCLID5, while software is modeled as a sequence of operations that update parts of the system state. [C1]

State variables and update semantics

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RELATIONSHIPS

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UCLID5 ← uses 100% 2e
UCLID5 models hardware as state machines computing next state from current state.

CITATIONS

7 sources
7 citations — click to expand
[1] UCLID5 models hardware as state machines that compute a next state from the current state and then transition to that next state, while software uses sequential operations. Formal Verification of Pipelined Y86-64 Microprocessors with UCLID5
[2] In the UCLID5 state-machine model, each state variable has a present value and a next value; the next value is denoted with a prime, and all state variables are synchronously updated after next-state computation. Formal Verification of Pipelined Y86-64 Microprocessors with UCLID5
[3] The cited UCLID5 verification work models a combination of a pipelined microprocessor and a sequential reference implementation and uses scripts to initialize state, operate the system, and check verification conditions. Formal Verification of Pipelined Y86-64 Microprocessors with UCLID5
[4] The verification captures state-variable values as UCLID5 variables and runs two PIPE model copies plus one SEQ model copy in symbolic simulation. Formal Verification of Pipelined Y86-64 Microprocessors with UCLID5
[5] Because synchronous state-machine updates delay control-signal changes by a full cycle, a verification requiring n flushing steps needs n + 4 symbolic-simulation steps; modules may either remain in their current state or operate for one step. Formal Verification of Pipelined Y86-64 Microprocessors with UCLID5
[6] The authors used procedures to express next-state computation within a state-machine processor model; UCLID5 treats procedure assignments as next-state assignments and uses assignment order to determine whether references are to current or next values. Formal Verification of Pipelined Y86-64 Microprocessors with UCLID5
[7] A PIPE-versus-SEQ correctness condition is represented as an invariant, with the step condition step > nflush+3 limiting the required correspondence to steps n + 4 and beyond. Formal Verification of Pipelined Y86-64 Microprocessors with UCLID5