Verification of Parameterised FPGA Circuit Descriptions with Layout ...

Verification of Parameterised FPGA Circuit Descriptions with Layout ... Verification of Parameterised FPGA Circuit Descriptions with Layout ...

24.04.2013 Views

APPENDIX B. THEORETICAL BASIS FOR LAYOUT REASONING 202 lemma impdisj_3of4: "(A --> D) ==> (A --> (B|C|D|E))" by (auto) lemma impdisj_4of4: "(A --> E) ==> (A --> (B|C|D|E))" by (auto) lemma impdisj_1of2: "(A --> B) ==> (A --> (B|C))" by auto lemma impdisj_2of2: "(A --> C) ==> (A --> (B|C))" by auto lemma impdisj_12of4: "(A --> (B|C)) ==> (A --> (B|C|D|E))" by auto lemma impdisj_34of4: "(A --> (D|E)) ==> (A --> (B|C|D|E))" by auto section {* Zero size ranges *} lemma overlap0: "((0::int)

APPENDIX B. THEORETICAL BASIS FOR LAYOUT REASONING 203 ((m

APPENDIX B. THEORETICAL BASIS FOR LAYOUT REASONING 202<br />

lemma impdisj_3<strong>of</strong>4: "(A --> D) ==> (A --> (B|C|D|E))"<br />

by (auto)<br />

lemma impdisj_4<strong>of</strong>4: "(A --> E) ==> (A --> (B|C|D|E))"<br />

by (auto)<br />

lemma impdisj_1<strong>of</strong>2: "(A --> B) ==> (A --> (B|C))"<br />

by auto<br />

lemma impdisj_2<strong>of</strong>2: "(A --> C) ==> (A --> (B|C))"<br />

by auto<br />

lemma impdisj_12<strong>of</strong>4: "(A --> (B|C)) ==> (A --> (B|C|D|E))"<br />

by auto<br />

lemma impdisj_34<strong>of</strong>4: "(A --> (D|E)) ==> (A --> (B|C|D|E))"<br />

by auto<br />

section {* Zero size ranges *}<br />

lemma overlap0: "((0::int)

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