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Semantics64

Exec64-load

Semantics of the instructions with the LOAD opcode [ISA:2.6] [ISA:4.3].

Signature
(exec64-load funct rd rs1 imm stat) → new-stat
Arguments: funct — Guard (load-funct-p funct).; rd — Guard (ubyte5p rd).; rs1 — Guard (ubyte5p rs1).; imm — Guard (ubyte12p imm).; stat — Guard (state64p stat).
Returns: new-stat — Type (state64p new-stat).

Definitions and Theorems

Function: exec64-load

(defun exec64-load (funct rd rs1 imm stat)
  (declare (xargs :guard (and (load-funct-p funct)
                              (ubyte5p rd)
                              (ubyte5p rs1)
                              (ubyte12p imm)
                              (state64p stat))))
  (let ((__function__ 'exec64-load))
    (declare (ignorable __function__))
    (load-funct-case funct
                     :lb (exec64-lb rd rs1 imm stat)
                     :lbu (exec64-lbu rd rs1 imm stat)
                     :lh (exec64-lh rd rs1 imm stat)
                     :lhu (exec64-lhu rd rs1 imm stat)
                     :lw (exec64-lw rd rs1 imm stat)
                     :lwu (exec64-lwu rd rs1 imm stat)
                     :ld (exec64-ld rd rs1 imm stat))))

Theorem: state64p-of-exec64-load

(defthm state64p-of-exec64-load
  (b* ((new-stat (exec64-load funct rd rs1 imm stat)))
    (state64p new-stat))
  :rule-classes :rewrite)

Theorem: exec64-load-of-load-funct-fix-funct

(defthm exec64-load-of-load-funct-fix-funct
  (equal (exec64-load (load-funct-fix funct)
                      rd rs1 imm stat)
         (exec64-load funct rd rs1 imm stat)))

Theorem: exec64-load-load-funct-equiv-congruence-on-funct

(defthm exec64-load-load-funct-equiv-congruence-on-funct
  (implies (load-funct-equiv funct funct-equiv)
           (equal (exec64-load funct rd rs1 imm stat)
                  (exec64-load funct-equiv rd rs1 imm stat)))
  :rule-classes :congruence)

Theorem: exec64-load-of-ubyte5-fix-rd

(defthm exec64-load-of-ubyte5-fix-rd
  (equal (exec64-load funct (ubyte5-fix rd)
                      rs1 imm stat)
         (exec64-load funct rd rs1 imm stat)))

Theorem: exec64-load-ubyte5-equiv-congruence-on-rd

(defthm exec64-load-ubyte5-equiv-congruence-on-rd
  (implies (ubyte5-equiv rd rd-equiv)
           (equal (exec64-load funct rd rs1 imm stat)
                  (exec64-load funct rd-equiv rs1 imm stat)))
  :rule-classes :congruence)

Theorem: exec64-load-of-ubyte5-fix-rs1

(defthm exec64-load-of-ubyte5-fix-rs1
  (equal (exec64-load funct rd (ubyte5-fix rs1)
                      imm stat)
         (exec64-load funct rd rs1 imm stat)))

Theorem: exec64-load-ubyte5-equiv-congruence-on-rs1

(defthm exec64-load-ubyte5-equiv-congruence-on-rs1
  (implies (ubyte5-equiv rs1 rs1-equiv)
           (equal (exec64-load funct rd rs1 imm stat)
                  (exec64-load funct rd rs1-equiv imm stat)))
  :rule-classes :congruence)

Theorem: exec64-load-of-ubyte12-fix-imm

(defthm exec64-load-of-ubyte12-fix-imm
  (equal (exec64-load funct rd rs1 (ubyte12-fix imm)
                      stat)
         (exec64-load funct rd rs1 imm stat)))

Theorem: exec64-load-ubyte12-equiv-congruence-on-imm

(defthm exec64-load-ubyte12-equiv-congruence-on-imm
  (implies (acl2::ubyte12-equiv imm imm-equiv)
           (equal (exec64-load funct rd rs1 imm stat)
                  (exec64-load funct rd rs1 imm-equiv stat)))
  :rule-classes :congruence)

Theorem: exec64-load-of-state64-fix-stat

(defthm exec64-load-of-state64-fix-stat
  (equal (exec64-load funct rd rs1 imm (state64-fix stat))
         (exec64-load funct rd rs1 imm stat)))

Theorem: exec64-load-state64-equiv-congruence-on-stat

(defthm exec64-load-state64-equiv-congruence-on-stat
  (implies (state64-equiv stat stat-equiv)
           (equal (exec64-load funct rd rs1 imm stat)
                  (exec64-load funct rd rs1 imm stat-equiv)))
  :rule-classes :congruence)