Work P

Differential Propositional Calculus

Figure 1

Figure 1. Local Habitations, And Names

Figure 1.  Local Habitations, And Names

Figure 1. Local Habitations, And Names

Figure 1.  Local Habitations, And Names

Figure 2

Figure 2. Same Names, Different Habitations

Figure 2.  Same Names, Different Habitations

Figure 2. Same Names, Different Habitations

Figure 2.  Same Names, Different Habitations

Figure 3

Figure 3. Back, To The Future

Figure 3.  Back, To The Future

Figure 3. Back, To The Future

Figure 3.  Back, To The Future

Table 4

HTML + LaTeX

\text{Table 4.} ~~ \text{Initial State Descriptions}
\begin{matrix}  \overline{q} ~ \overline{\mathrm{d}q} ~\text{describes}~ a  \\[8pt]  \overline{q} ~ \mathrm{d}q ~\text{describes}~ d  \\[8pt]  q ~ \overline{\mathrm{d}q} ~\text{describes}~ b  \\[8pt]  q ~ \mathrm{d}q ~\text{describes}~ c  \end{matrix}

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Table 4.  Initial State Descriptions

Table 4. Initial State Descriptions

Table 4.  Initial State Descriptions

Table 4. Initial State Descriptions

Table 5

HTML + LaTeX

\text{Table 5.} ~~ \text{Differential Inference Rules}
\begin{matrix}  \text{From} & \overline{q}  & \text{and} & \overline{\mathrm{d}q}  & \text{infer} & \overline{q} & \text{next.}  \\[8pt]  \text{From} & \overline{q}  & \text{and} & \mathrm{d}q  & \text{infer} & q & \text{next.}  \\[8pt]  \text{From} & q  & \text{and} & \overline{\mathrm{d}q}  & \text{infer} & q & \text{next.}  \\[8pt]  \text{From} & q  & \text{and} & \mathrm{d}q  & \text{infer} & \overline{q} & \text{next.}  \end{matrix}

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Table 5.  Differential Inference Rules

Table 5. Differential Inference Rules

Table 5.  Differential Inference Rules

Differential Inference Rules

Table 6

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Table 6.  Syntax and Semantics of a Calculus for Propositional Logic

Syntax and Semantics of a Calculus for Propositional Logic

Table 7

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Table 7.  Propositional Calculus : Basic Notation

Propositional Calculus : Basic Notation

Linear Propositions

Linear Propositions May Be Written As Sums

Positive Propositions

Positive Propositions May Be Written As Products

Singular Propositions

Singular Propositions May Be Written As Products

Table 11

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Table 11.  Differential Extension : Basic Notation

Differential Extension : Basic Notation